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» Cut elimination in coalgebraic logics
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TCS
2008
13 years 7 months ago
Density elimination
Density elimination, a close relative of cut elimination, consists of removing applications of the Takeuti-Titani density rule from derivations in Gentzen-style (hypersequent) cal...
Agata Ciabattoni, George Metcalfe
CSL
2001
Springer
14 years 6 days ago
Non-commutativity and MELL in the Calculus of Structures
We introduce the calculus of structures: it is more general than the sequent calculus and it allows for cut elimination and the subformula property. We show a simple extension of m...
Alessio Guglielmi, Lutz Straßburger
LICS
2008
IEEE
14 years 2 months ago
Cut Elimination for Monomial MALL Proof Nets
We present a syntax for MALL (multiplicative additive linear logic without units) proof nets which refines Girard’s one. It is also based on the use of monomial weights for ide...
Olivier Laurent, Roberto Maieli
LFCS
2009
Springer
14 years 2 months ago
Canonical Signed Calculi, Non-deterministic Matrices and Cut-Elimination
Canonical propositional Gentzen-type calculi are a natural class of systems which in addition to the standard axioms and structural rules have only logical rules where exactly one ...
Arnon Avron, Anna Zamansky
TCS
2011
13 years 2 months ago
A semantic measure of the execution time in linear logic
We give a semantic account of the execution time (i.e. the number of cut elimination steps leading to the normal form) of an untyped MELL net. We first prove that: 1) a net is he...
Daniel de Carvalho, Michele Pagani, Lorenzo Tortor...